Closed-form analogue Hawking temperatures are derived for power-law velocity profiles in dispersive sonic and optical media, with numerical verification.
(A.22) This function has two poles, but only one contributes to the integral at z→∞ , which results in ℏω kBT = au2 0 v3g(k∞)(2vg(k∞)k∞−v′ g(k∞)k2 ∞)
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Hawking temperature in dispersive media: Analytical and numerical study
Closed-form analogue Hawking temperatures are derived for power-law velocity profiles in dispersive sonic and optical media, with numerical verification.